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Finding the Fourth Proportional to 5,665.35, 8,531.97 and 5,160.33

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Solution

The fourth proportional to 5,665.35, 8,531.97 and 5,160.33 is: 7,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.35 : 8,531.97 = 5,160.33 : x
  2. Step 2: Convert to fraction form
    5,665.35/8,531.97 = 5,160.33/x
  3. Step 3: Cross multiply
    5,665.35x = 8,531.97 × 5,160.33
  4. Step 4: Simplify right side
    5,665.35x = 44,027,780.75
  5. Step 5: Solve for x
    x = 44,027,780.75/5,665.35
  6. Step 6: Final answer
    x = 7,771.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.